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Because this equation has complex roots, you need to use complex numbers. The easiest way is to use the quadratic formula

This will give you (-3 +/- (-23)1/2 ) / 8.

Thus, the answer is -3/8 + i(23)1/2 and -3/8 - i(23)1/2

Giving you factors of (x + (3/8 + i(23)1/2 ))(x + (3/8 - i(23)1/2))

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